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RD Sharma Solutions for Class 12 Math Chapter 28 - Straight Line in Space - Free PDF Download

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Last updated date: 21st Jul 2024
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Chapter 28 - Straight Line in Space - Free PDF Download

RD Sharma Class 12 Solutions for Chapter 28  is given here in PDF format. Solutions provided here will help students to develop better skills and to prepare efficiently for the exams. To help students understand the concepts clearly, we have provided Solutions to RD Sharma Chapter 28 that consist of conceptual problems and solved examples. The primary purpose of RD Sharma Class 12 Chapter 28 is to provide a basic understanding of the concepts and encourage students to learn and practice more. These solutions are prepared by our subject experts as per the updated CBSE guidelines.

RD Sharma Class 11 Solutions Chapter 28 - The Straight Lines is a very helpful resource for students appearing for their Class 11 Math exam. It not only prepares the students for the type of questions that might come in the exam but also aids them in assessing their level of preparation. It’s something that every student should refer to if they are aiming to score high in their exams. Such resources help the pupil to evaluate the problems better and come up with solutions that are to the point.

Competitive Exams after 12th Science
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Introduction to RD Sharma Class 12 Solutions Straight Line in Space

A straight line is a line that can be extended on both sides to infinity without any curves. It is an object in geometry that is characterized by a zero-width object and extends in opposite directions without any ends. After gaining in-depth knowledge of all principles, the expert faculties prepared these solutions for students which help them to solve exercise-wise problems.  

The Concepts Covered in This Chapter

  • Point direction form of the equation of a line

  • Two-point form of the equation of a straight line

  • Parametric form equation of a straight line 

  • The angle between two straight lines

  • Parallel lines

  • Perpendicular lines

  • The intersection of two lines in space

  • Parallel line and plane

  • Perpendicular line and plane  

RD Sharma Class 12 Solutions Straight Line in Space Consists of 5 Exercises. Students Can Refer to the Following Link

Topics Covered In Chapter 23 - The Straight Lines

  • A straight line has not been curved or bent in any way. All of the fundamental and advanced ideas connected to straight lines are addressed in this session. This lesson is also available in PDF format, which allows students to refer to the principles while offline.

  • A line is a simple geometric object that is defined as a zero-width object that extends on both sides. A straight line has no bends. A straight line is a line that stretches to infinity on both sides and has no bends.

Straight Line Equation

All points on the curve are satisfied by the relationship between variables x and y.

The equation of a straight line is ax + by + c = 0.

The variables x and y are variables, and the constants a,b, and c are constants.

Origins Shifting

Let's say the origin is moved to point O' (h, k). If P(x, y) are the coordinates of a point on old axes, and P'(X, Y) are the coordinates of the same points on new axes, x = X + h, and y = Y + k.

Straight line

If two locations on a curve are chosen such that every point on the line segment connecting any two points on the curve lies on the curve, it is said to be a straight line. A line's general equation is ax + by + c = 0.

Line Slope or Gradient

The slope or gradient of a line is defined as the inclination of an angle to a line with a positive X-axis in the anti-clockwise direction, denoted by m.

The Equation Of A Line In Various Forms Is Given Below

The equation of a line is y = k if it is at a distance of k and parallel to the X-axis.

The equation for a line parallel to the Y-axis at a distance of c from the Y-axis is x = c.

Slope-intercept form: y = mx + c is the equation of a line with slope m and an intercept c on the y-axis.

One point-slope form: y – y1 = m (x – x1) is the equation of a line that passes through the point (x1, y1) and has a slope of m.

Conclusion

Vedantu not only offers the rd Sharma Class 12 solutions straight line in space but also of various other Chapters in Mathematics and different subjects across all standards. It offers a series of study material on important questions for various subjects and Chapters across different Classes. The study material is easily accessible and available in freely downloadable PDF format for the registered students of Vedantu. Important questions for RD Sharma Class 12 Chapter 28 are highly beneficial to study material. The solutions to these questions are available on the Vedantu website in PDF format and are easily available for download on any device. This topic is very helpful for students preparing for IIT JEE Main and JEE Advanced exams.

To make the ideas simpler for students, the faculty produces responses with pictorial representation. These were just some of the significant questions from the RD Sharma Maths Solution. These questions will ensure that the student’s skills and understanding are strengthened, which will make them shine in the board exam. Students who aspire to achieve complete marks in the topic are advised to through the solution provided by Vedantu.

FAQs on RD Sharma Solutions for Class 12 Math Chapter 28 - Straight Line in Space - Free PDF Download

1. How to define a straight line in Math?

We can define a straight line as the set of all points between and extending beyond two points. In addition to that two properties of straight lines in Euclidean geometry. First is they have only one dimension, length, and second is that they can be extended in two directions forever.

2. Why should students refer to the RD Sharma textbook?

RD Sharma is one of the most important reference books for high school grades. It is recommended to every high school student. The book covers every single topic in detail. It provides in-depth knowledge of every single topic and covers both theory and problem-solving concepts. This book is highly helpful for the students who wish to secure full marks in the exam.

3. Write down the two-point form of the equation of a line in space?

The two-point form of the equation of a line in space is given by the below equation. (x-x1)/(x2-x1)  =  (y-y1)/(y2-y1)  = ( z-z1)/(z2-z1)

4. How is the position of points relative to a given line according to RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23)?

We’ll assume and let the equation of the given line be ax + by + c = 0 and further, let the coordinates of the two given points be P(x1, y1) and Q(x2, y2). To understand further, we’ll let the two points be on the same side of the straight line ax + by + c = 0, If ax1 + by1 + c and ax2 + by2 + c have the same sign. Now, the two points are on the opposite sides of the straight line ax + by + c = 0, If ax1 + by1 + c and ax2 + by2+ c have opposite signs.

5. What are the various forms of the equation of a line according to RD Sharma Class 11 Solutions Chapter 23 - The Straight Lines (Ex 23)?

The equation of a line is y = k if it is at a distance of k and parallel to the X-axis. The equation for a line parallel to the Y-axis at a distance of c from the Y-axis is x = c. Form of the slope-intercept: y = mx + c is the equation for a line with slope m and an intercept c on the y-axis. One point-slope shape is as follows: y – y1 = m (x – x1) is the equation of a line that passes through the point (x1, y1) and has a slope of m.